Non-restricted representations of contact and special contact Lie superalgebras of odd type

2022/06/16 by Wang, Shujuan, Liu, Wende
#17B10 #17B35 #17B50 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2206.07958

Abstract

Let \frakg be a contact Lie superalgebra of odd type or special contact Lie superalgebra of odd type over an algebraically closed field of characteristic p>3. In this paper we study non-restricted representations of \frakg. By using induced Kac modules, we characterize all simple \frakg-modules with nonsingular or Δ-invertible p-characters. We also obtain all simple \frakg-modules with regular semisimple p-characters.

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